Inverse simulation is an inverse process of direct simulation. It determines unknown input variables of the direct simulation for a given set of simulation output variables. Uncertainties usually exist, making it difficult to solve inverse simulation problems. The objective of this research is to account for uncertainties in inverse simulation in order to produce high confidence in simulation results. The major approach is the use of the maximum probability density function (PDF), which determines not only unknown deterministic input variables but also the realizations of random input variables. Both types of variables are solved on the condition that the joint probability density of all the random variables is maximum. The proposed methodology is applied to a traffic accident reconstruction problem where the simulation output (accident consequences) is known and the simulation input (velocities of the vehicle at the beginning of crash) is sought.
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December 2013
Research-Article
Probabilistic Inverse Simulation and Its Application in Vehicle Accident Reconstruction
Xiaoyun Zhang,
Xiaoyun Zhang
Associate Professor
School of Mechanical Engineering,
e-mail: general_zhang@sjtu.edu.cn
School of Mechanical Engineering,
Shanghai Jiaotong University
,909 Mechanical Building
,800 Dong Chuan Road
,Shanghai 200240
, China
e-mail: general_zhang@sjtu.edu.cn
Search for other works by this author on:
Xiaoping Du
Xiaoping Du
1
Associate Professor
e-mail: dux@mst.edu
Department of Mechanical
and Aerospace Engineering,
e-mail: dux@mst.edu
Department of Mechanical
and Aerospace Engineering,
Missouri University of Science and Technology
,290D Toomey Hall
,400 West 13th Street
,Rolla, MO 65409-0500
1Corresponding author.
Search for other works by this author on:
Xiaoyun Zhang
Associate Professor
School of Mechanical Engineering,
e-mail: general_zhang@sjtu.edu.cn
School of Mechanical Engineering,
Shanghai Jiaotong University
,909 Mechanical Building
,800 Dong Chuan Road
,Shanghai 200240
, China
e-mail: general_zhang@sjtu.edu.cn
Zhen Hu
Research Assistant
e-mail: zh4hd@mst.edu
e-mail: zh4hd@mst.edu
Xiaoping Du
Associate Professor
e-mail: dux@mst.edu
Department of Mechanical
and Aerospace Engineering,
e-mail: dux@mst.edu
Department of Mechanical
and Aerospace Engineering,
Missouri University of Science and Technology
,290D Toomey Hall
,400 West 13th Street
,Rolla, MO 65409-0500
1Corresponding author.
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received March 25, 2013; final manuscript received August 19, 2013; published online September 19, 2013. Assoc. Editor: David Gorsich.
J. Mech. Des. Dec 2013, 135(12): 121006 (10 pages)
Published Online: September 19, 2013
Article history
Received:
March 25, 2013
Revision Received:
August 19, 2013
Citation
Zhang, X., Hu, Z., and Du, X. (September 19, 2013). "Probabilistic Inverse Simulation and Its Application in Vehicle Accident Reconstruction." ASME. J. Mech. Des. December 2013; 135(12): 121006. https://doi.org/10.1115/1.4025296
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